Quantum Revivals of Morse Oscillators and Farey-Ford Geometry
Quantum Physics
2013-08-22 v1
Abstract
Analytical eigensolutions for Morse oscillators are used to investigate quantum resonance and revivals and show how Morse anharmonicity affects revival times. A minimum semi-classical Morse revival time Tmin-rev found by Heller is related to a complete quantum revival time Trev using a quantum deviation parameter that in turn relates Trev to the maximum quantum beat period Tmax-beat. Also, number theory of Farey and Thales-circle geometry of Ford is shown to elegantly analyze and display fractional revivals. Such quantum dynamical analysis may have applications for spectroscopy or quantum information processing and computing.
Keywords
Cite
@article{arxiv.1308.4470,
title = {Quantum Revivals of Morse Oscillators and Farey-Ford Geometry},
author = {Alvason Zhenhua Li and William G. Harter},
journal= {arXiv preprint arXiv:1308.4470},
year = {2013}
}